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Finding the Third Proportional to 60,176 and 93,554

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Solution

The third proportional to 60,176 and 93,554 is: 145,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,176 : 93,554 = 93,554 : x
  2. Step 2: Convert to fraction form
    60,176/93,554 = 93,554/x
  3. Step 3: Cross multiply
    60,176x = 93,554 × 93,554
  4. Step 4: Simplify right side
    60,176x = 8,752,350,916
  5. Step 5: Solve for x
    x = 8,752,350,916/60,176
  6. Step 6: Final answer
    x = 145,445.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.